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Finding the Fourth Proportional to 10,561.77, 14,574.25 and 6,311.98

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Solution

The fourth proportional to 10,561.77, 14,574.25 and 6,311.98 is: 8,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.77 : 14,574.25 = 6,311.98 : x
  2. Step 2: Convert to fraction form
    10,561.77/14,574.25 = 6,311.98/x
  3. Step 3: Cross multiply
    10,561.77x = 14,574.25 × 6,311.98
  4. Step 4: Simplify right side
    10,561.77x = 91,992,374.52
  5. Step 5: Solve for x
    x = 91,992,374.52/10,561.77
  6. Step 6: Final answer
    x = 8,709.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.